IJPAM: Volume 53, No. 3 (2009)


Ragnhild Johanne Rensaa$^1$, Haakon Waadeland$^2$
$^1$R&D Group for Electromechanical Systems
Institute for Information, Energy and Space Technology
Narvik University College
P.O. Box 385, Narvik, N-8505, NORWAY
e-mail: [email protected]
$^2$Department of Mathematical Sciences
Norwegian University of Science and Technology
Trondheim, N-7491, NORWAY
e-mail: [email protected]

Abstract.The purpose of the present paper is to introduce an alternative method for computing approximants of a continued fraction. Although the method is based upon established theory for tails of continued fractions - right tails and wrong tails - it has never been presented in this form. The main idea is to illustrate how wrong tails can be used in the computation. This is a consequence of the stability of the algorithm for wrong tails.

Received: May 12, 2009

AMS Subject Classification: 30B70, 40A15

Key Words and Phrases: continued fractions, tails, approximants

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 3